Powers and Negative Exponents
Write the expression using exponents.
x*x*x
x^3
Find each product. Express using positive exponents.
m^3*m^6
m^9
Write an expression using a positive exponent.
((x^3)(x^-3))/x^2
1/x^2
Express each number in scientific notation.
5.82 xx 10^3
5820
Evaluate each expression. Express the result in scientific notation.
(4.45xx10^9)(1.3xx10^6)
5.785xx10^15
Evaluate each expression.
(-4)^3
-64
Find each quotient. Express using positive exponents.
k^10/k^4
k^6
Find each quotient. Express using positive exponent.
-(40a^6)/(8a^2)
-5a^4
Express each number in scientific notation.
1.1 xx10^-4
0.00011
Evaluate each expression. Express the result in scientific notation.
(5.85xx10^5)/(3.9xx10^-6)
1.5xx10^11
Write each exponent using a positive power.
(-4)^-3
1/((-4)^3)
Find each product. Express using positive exponents.
x^8*x
x^9
If you use two spots of glue on a project, each weighing the following amounts (in ounces), how much glue did you use in all?
3.7 \times 10^-2
2.1 \times 10^-1
2.47\times10^-1 ounces
Express each number in scientific notation.
47,000
4.7xx10^4
Evaluate each expression. Express the result in scientific notation.
(2.4xx10^3)/(2xx10^5)
1.2xx10^-2
Write each fraction as an expression using negative exponent other -1.
1/16
4^-2 or 2^-4
Find each product. Express using positive exponents.
(5a^-3)(-6a^4)
-30a
What symbols make the statement true <,>, =?
2.8xx10^-1 _2.1xx10^1
2.8xx10^-1 <2.1xx10^1
Express each number in scientific notation.
0.0072
7.2xx10^-3
The volume of a public swimming pool is 2.95\times 10^3 cubic feet. If the diving zone is 32% of the pool, what is the volume of that zone. Write your answer in standard form.
944 ft^3
Evaluate each expression if x=4.
x^2 - 6
10
Find each quotient. Express using positive exponents.
9^4/9^5
1/9
Order each set of numbers from least to greatest.
7.35xx10^4, 1.7xx10^-6, 8.26xx10^3, 9.3xx10^-2
1.7xx10^-6, 9.3xx10^-2, 8.26xx10^3, 7.35xx10^4
Write the number "two one-hundreths" in scientific notation.
2\times 10^-2
Evaluate each expression. Express the result in scientific notation.
((9.6xx10^20)(3xx10^6))/(2xx10^5)
1.44xx10^22